Search a number
-
+
140041571364 = 223217318238969
BaseRepresentation
bin1000001001101100100…
…0001100110000100100
3111101110201220220221100
42002123020030300210
54243301120240424
6144200104520100
713055234500422
oct2023310146044
9441421826840
10140041571364
11544338a8342
1223183780030
131028a388b36
146ac6d70112
1539996d3dc9
hex209b20cc24

140041571364 has 144 divisors (see below), whose sum is σ = 387421332480. Its totient is φ = 42460968960.

The previous prime is 140041571357. The next prime is 140041571459. The reversal of 140041571364 is 463175140041.

140041571364 is a `hidden beast` number, since 1 + 40 + 0 + 41 + 571 + 3 + 6 + 4 = 666.

It is a super-2 number, since 2×1400415713642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15609472 + ... + 15618440.

It is an arithmetic number, because the mean of its divisors is an integer number (2690425920).

Almost surely, 2140041571364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140041571364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193710666240).

140041571364 is an abundant number, since it is smaller than the sum of its proper divisors (247379761116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140041571364 is a wasteful number, since it uses less digits than its factorization.

140041571364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 9845 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 140041571364 in words is "one hundred forty billion, forty-one million, five hundred seventy-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 823 1054 1116 1581 1646 2108 2469 3162 3292 4743 4938 6324 7407 8969 9486 9876 13991 14814 17938 18972 25513 26907 27982 29628 35876 41973 51026 53814 55964 76539 80721 83946 102052 107628 125919 152473 153078 161442 167892 229617 251838 278039 304946 306156 322884 433721 457419 459234 503676 556078 609892 834117 867442 914838 918468 1112156 1301163 1372257 1668234 1734884 1829676 2502351 2602326 2744514 3336468 3903489 4726663 5004702 5204652 5489028 7381487 7806978 9453326 10009404 14179989 14762974 15613956 18906652 22144461 28359978 29525948 42539967 44288922 56719956 66433383 85079934 88577844 125485279 132866766 170159868 228826097 250970558 265733532 376455837 457652194 501941116 686478291 752911674 915304388 1129367511 1372956582 1505823348 2059434873 2258735022 2745913164 3890043649 4118869746 4517470044 7780087298 8237739492 11670130947 15560174596 23340261894 35010392841 46680523788 70020785682 140041571364